110001121121221 has 16 divisors (see below), whose sum is σ = 123512360774400. Its totient is φ = 97116573902400.

The previous prime is 110001121121141. The next prime is 110001121121231. The reversal of 110001121121221 is 122121121100011.

It is a cyclic number.

It is not a de Polignac number, because 110001121121221 - 2⁷ = 110001121121093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110001121121195 and 110001121121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001121121231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037517226 + ... + 1037623243.

It is an arithmetic number, because the mean of its divisors is an integer number (7719522548400).

Almost surely, 2^{110001121121221} is an apocalyptic number.

110001121121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001121121221 is a deficient number, since it is larger than the sum of its proper divisors (13511239653179).

110001121121221 is a wasteful number, since it uses less digits than its factorization.

110001121121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075140620.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110001121121221 its reverse (122121121100011), we get a palindrome (232122242221232).

The spelling of 110001121121221 in words is "one hundred ten trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".